Boussinesq–Green–Naghdi rotational water wave theory
نویسندگان
چکیده
Article history: Received 4 March 2012 Received in revised form 14 September 2012 Accepted 17 September 2012 Available online xxxx
منابع مشابه
Rotational surf zone modeling for Oðl4Þ Boussinesq–Green–Naghdi systems
A surf zone model is developed and tested based on the Oðl4Þ Boussinesq–Green–Naghdi system of Zhang et al. (2013). Because the model is fundamentally rotational, it uses fewer ad hoc assumptions than are found in many Boussinesq breaking wave systems. Eddy viscosity is used to describe both breaking dissipation and bottom friction, with breaking viscosities derived from the turbulent kinetic e...
متن کاملHorizontal circulation and jumps in Hamiltonian wave models
We are interested in the modeling of wave-current interactions around surf zones at beaches. Any model that aims to predict the onset of wave breaking at the breaker line needs to capture both the nonlinearity of the wave and its dispersion. We have therefore formulated the Hamilto5 nian dynamics of a new water wave model, incorporating both the shallow water and pure potential flow water wave ...
متن کاملGearhart-Prüss Theorem in stability for wave equations: a survey
We give a brief survey of applications of the Gearhart-Prüss spectral mapping theorem for abstract strongly continuous semigroups on Hilbert spaces to the study of stability of solitary waves for a large class of Hamiltonian partial differential equations of mathematical physics including Klein-Gordon, nonlinear Schrödinger, Boussinesq, Benjamin-BonaMahoney (regularized long-wave), Korteweg-deV...
متن کاملDiscontinuous Galerkin methods for solving Boussinesq-Green-Naghdi equations in resolving non-linear and dispersive surface water waves
Article history: Received 15 July 2013 Received in revised form 18 April 2014 Accepted 23 May 2014 Available online 2 June 2014
متن کاملDiscontinuous-Galerkin discretization of a new class of Green-Naghdi equations
We describe in this work a discontinuous-Galerkin Finite-Element method to approximate the solutions of a new family of 1d Green-Naghdi models. These new models are shown to be more computationally efficient, while being asymptotically equivalent to the initial formulation with regard to the shallowness parameter. Using the free surface instead of the water height as a conservative variable, th...
متن کامل